Cox rings of minimal resolutions of surface quotient singularities
Algebraic Geometry
2013-08-15 v2
Abstract
We investigate Cox rings of minimal resolutions of surface quotient singularities and provide two descriptions of these rings. The first one is the equation for the spectrum of a Cox ring, which is a hypersurface in an affine space. The second is the set of generators of the Cox ring viewed as a subring of the coordinate ring of a product of a torus and another surface quotient singularity. In addition, we obtain an explicit description of the minimal resolution as a divisor in a toric variety.
Keywords
Cite
@article{arxiv.1301.2633,
title = {Cox rings of minimal resolutions of surface quotient singularities},
author = {Maria Donten-Bury},
journal= {arXiv preprint arXiv:1301.2633},
year = {2013}
}
Comments
37 pages, exposition improved